How did you burn the DVD? Burn another using ImgBurn at 4x speed.
Next try writing to flash stick as given in tutorial I linked, booting that.
If both fail then you should wipe the HD if you haven't already. Test the HD using maker's HD Diagnostic
extended CD scan.
Check HP Support Downloads webpage for newer BIOS update. If none reset the BIOS to defaults: Clear CMOS - 3 Ways to Clear the CMOS - Reset BIOS
. While in BIOS setup set SATA controller to AHCI to try install.
Unplug all other HD's and peripherals.
If it still fails remove all but 2gb RAM to try install, making sure to touch the case while touching electronics, Swap RAM sticks, check slots for debris.